New exact solutions of Burgers' type equations with conformable derivative
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Date
2017
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Taylor & Francis Ltd
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Abstract
In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers' equation, modified Burgers' equation, and Burgers-Korteweg-de Vries equation. We report that this method is efficient and it can be successfully used to obtain new analytical solutions of nonlinear FDEs.
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Keywords
First Integral Method, Burgers' Equation, Modified Burgers Equation, Conformable Derivative, Burgers-Korteweg-De Vries Equation
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Citation
Çenesiz, Y...et al. (2017).New exact solutions of Burgers' type equations with conformable derivative. Waves In Random And Complex Media, 27(1), 103-116. http://dx.doi.org/ 10.1080/17455030.2016.1205237
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Volume
27
Issue
1
Start Page
103
End Page
116